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Math unit 1- GRCA

Math unit 1- Algebra 2 terms GRCA

TermDefinition
Axis of Symmetry 𝒙= 𝒃/𝟐𝒂, line that divides parabola in a half through the vertex
Completing the Square method for rewriting a function, used for converting between standard and vertex forms; also process of adding a constant to both sides to make perfect square trinomial.
Complex Conjugate a pair of complex numbers, a + bi and a – bi, whose real parts are the same but whose imaginary parts are oppositesex. 6 + 5i and 6 – 5i
Complex Number numbers that use the imaginary unit i, andcan be written in the form, a + bi, where a and b are real numbers
Difference of squares 𝒂^𝟐−𝒃^𝟐=(𝒂+𝒃)(𝒂 −𝒃)
Discriminant 𝒃^𝟐 −𝟒𝒂𝒄, used to determine number and type ofsolutions a quadratic equation has
Distributive Property a(b + c) = ac + bc
Factoring By Grouping technique involving grouping terms with common factors before factoring
Imaginary Part of a Complex Number the value of the realnumber b in the complexnumber a + bi
Imaginary Number complex number a + bi, in which b ≠ 0
Imaginary Unit 𝒊= √(−𝟏)
Maximum highest point, vertex when a is negative
Minimum lowest point, vertex when a is positive
Perfect Square Trinomial 𝒂^𝟐+𝟐𝒂𝒃+ 𝒃^𝟐=(𝒂+𝒃)^𝟐
Purely Imaginary Number complex number where a = 0 and b ≠ 0 , 3i
Quadratic Equation 𝒇(𝒙)=𝒂𝒙^𝟐+𝒃𝒙+𝒄, highest exponent is a 2
Quadratic Formula (−𝒃±√(𝒃^𝟐−𝟒𝒂𝒄) )/𝟐𝒂
Radicand value under a radical sign, √𝒓𝒂𝒅𝒊𝒄𝒂𝒏𝒅
Real Part of a Complex Number the value of the real number, a,in the complex number a + bi
Roots Solutions, Zeros
Square Root Property solving equation by taking the square root on both sides: 𝒙= ±√𝒌
Standard Form of a Complex Number a + bi, where a and b are real and i is imaginary
Standard Form of a Quadratic Equation 𝒇(𝒙)=𝒂𝒙^𝟐+𝒃𝒙+𝒄
Vertex highest or lowest point of a parabola, where the graph turns: (h,k)
Vertex Form of a Quadratic Equation 𝒇(𝒙)=𝒂(𝒙 −𝒉)^𝟐+𝒌
X-Intercepts where graph crosses the x-axis, when y = 0
Y-Intercepts where graph crosses the y-axis, when x = 0
Zero-Product Property If the product of two numbers is zero, at one of the two numbers is 0
Created by: Gilcher_GRCA
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